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Eric Andriantiana

 

Senior Lecturer

MSC (Stellenbosch), PhD (Stellenbosch)

e.andriantiana@ru.ac.za

Room 2 Maths Building (Drostdy Lodge)

(046) 603 7444

Teaching

  • Introduction to Algebra (In MAM1): Set theory; mappings; binary operations; equivalence relations and order; groups.
  • Introduction to Analysis (In MAM1): Real numbers; open and closed intervals; sequences and series (convergence); functions of a real variable (continuity, limit); series of functions; Taylor series.
  • Mathematical Programming (in MAM1): Solving mathematical problems using (Python) programming.
  • MAT 311: A third year abstract Algebra.
  • Algebraic Graph Theory: An honours course on graphs, their adjacency matrices, Laplacian matrices, characteristic polynomials and spectrum.
  • Honours project: Topics on algebra, graph theory, combinatorics and their applications are available. Please contact me for more details.
  • Experimental Mathematics (March 2016 and Jan 2017) at the African Institute for Mathematical Sciences (AIMS): The course illustrates how mathematical ideas evolve from experimental observations to theorems. It involves Number Theory, Linear Algebra, Probability, Graph Theory, and it uses SAGE.

Research interests

  • Graph Theory
  • Combinatorics

Selected publications

  • Extremal problems for trees with given segment sequence, Discrete Applied Mathematics 220 (2017) 20–34. With S. Wagner and H. Wang. Full text.
  • Maximum Wiener index of trees with given segment sequence, MATCH Communications in Mathematical and in Computer Chemistry, 75 (2016) 91-104. With S. Wagner and H. Wang. Full text.
  • Graphs with maximal Hosoya index and minimal Merrifield-Simmons index, Discrete Mathematics, 329 (2014) 77-87. With Z. Zhu, C. Yuan and S. Wagner. Full text
  • Spectral moment of trees with given degree sequence, Linear Algebra Appl. 439 (2013) 3980-4002. With S. WagnerPreprint.
  • Greedy trees, subtrees and antichains, Electron. J. Combin. 20(3) (2013), 28. With S. Wagner and H. Wang,  Free full text.
  • Energy, Hosoya index and Merrifield-Simmons index of trees with prescribed degree sequence, Discrete Appl. Math. 161 (2013) 724-741. Full text.
  • More Trees with Large Energy and Small Size, MATCH Commun. Math. Comput. Chem., 68 (2012) 697-702; with I. GutmanB. Furtula and M. Cvetic. Free full text.
  • More Trees with Large Energy, MATCH Commun. Math. Comput. Chem., 68 (2012) 675-695. Free full text.
  • Unicyclic graphs with large energy, Linear Algebra and its Applications, 435 (2011) 1399-1414; with S. Wagner. Full text

Book chapters

  • Laplacian Energy, in Energies of Graphs -Theory and Applications , Gutman, X. Li (Eds.) , Univ. Kragujevac, Kragujevac, 2016, pp. 49-80. 
  • Bounds of the Estrada Index and the Laplacian Estrada Index, in Bounds in Chemical Graph Theory - Mainstreams, I. Gutman, B. Furtula, K. C. Das, E. Milovanovic, I. Milovanovic (Eds.),Univ. Kragujevac, Kragujevac, 2017, pp. 23-52.

Refereeing

I served as a reviewer for Mathematical Reviews and journals including

  • Discrete Applied Mathematics,
  • Applied Mathematics Letters,
  • Computers & Mathematics with Applications,
  • MATCH Communications in Mathematical and in Computer Chemistry,
  • Applied Mathematics-A Journal of Chinese Universities,
  • Quaestiones Mathematicae,
  • Theory and Applications of Graphs.

 

 

Last Modified :Thu, 05 Oct 2017 16:57:14 SAST